Theoretical predictions for photoacoustic signal: Fractionary thermal diffusion with modulated light absorption source

Abstract

We develop a theoretical framework, in the context of the anomalous thermal diffusion, for the photoacoustic signal. We obtain analytical predictions for the open photoacoustic cell technique by considering the thermal diffusion and thermoelastic bending effects. In these contexts, we consider different conditions for the thermal diffusivity, coefficient of optical absorption, the sample thickness and the amplitudes of thermal diffusion and thermoelastic bending contributions. Furthermore, opaque samples are also simulated as a special case of the optically transparent samples.